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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 10, Pages 1711–1724
DOI: https://doi.org/10.7868/S0044466916100070 (Mi zvmmf10474) 		 
Asymptotically suboptimal control of weakly interconnected dynamical systems

N. M. Dmitruk, A. I. Kalinin

Belarusian State University, Minsk, Belarus
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DOI: https://doi.org/10.7868/S0044466916100070
Abstract: Optimal control problems for a group of systems with weak dynamical interconnections between its constituent subsystems are considered. A method for decentralized control is proposed which distributes the control actions between several controllers calculating in real time control inputs only for theirs subsystems based on the solution of the local optimal control problem. The local problem is solved by asymptotic methods that employ the representation of the weak interconnection by a small parameter. Combination of decentralized control and asymptotic methods allows to significantly reduce the dimension of the problems that have to be solved in the course of the control process.
Key words: optimal control, interconnected dynamical system, centralized, decentralized control, asymptotic methods, algorithm.
Funding agency Grant number
Belarusian Republican Foundation for Fundamental Research Ф14МС-005
Received: 01.01.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 10, Pages 1695–1707
DOI: https://doi.org/10.1134/S0965542516100079
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: N. M. Dmitruk, A. I. Kalinin, “Asymptotically suboptimal control of weakly interconnected dynamical systems”, Zh. Vychisl. Mat. Mat. Fiz., 56:10 (2016), 1711–1724; Comput. Math. Math. Phys., 56:10 (2016), 1695–1707
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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